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Finding the Third Proportional to 459,040 and 984,488

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Solution

The third proportional to 459,040 and 984,488 is: 2,111,399.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,040 : 984,488 = 984,488 : x
  2. Step 2: Convert to fraction form
    459,040/984,488 = 984,488/x
  3. Step 3: Cross multiply
    459,040x = 984,488 × 984,488
  4. Step 4: Simplify right side
    459,040x = 969,216,622,144
  5. Step 5: Solve for x
    x = 969,216,622,144/459,040
  6. Step 6: Final answer
    x = 2,111,399.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.